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6\times \frac{1}{3}=2x-5
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 6\left(2x-5\right), the least common multiple of 2x-5,6.
2=2x-5
Multiply 6 and \frac{1}{3} to get 2.
2x-5=2
Swap sides so that all variable terms are on the left hand side.
2x=2+5
Add 5 to both sides.
2x=7
Add 2 and 5 to get 7.
x=\frac{7}{2}
Divide both sides by 2.